English

Free minimal actions of countable groups with invariant probability measures

Dynamical Systems 2020-01-20 v3 Group Theory

Abstract

We prove that for any countable group G there exists a free minimal continuous action of G on the Cantor set admitting an invariant Borel probability measure.

Keywords

Cite

@article{arxiv.1805.11149,
  title  = {Free minimal actions of countable groups with invariant probability measures},
  author = {Gábor Elek},
  journal= {arXiv preprint arXiv:1805.11149},
  year   = {2020}
}

Comments

to appear in Ergodic Theory and Dynamical Systems. arXiv admin note: text overlap with arXiv:1803.05461